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Asymptotic attenuation of a class of nonlinear systems with unknown sinusoidal disturbances
Received:2008/5/5  Revised:2009/3/2
Keywords:Adaptive control  Nonlinear systems  Backstepping  Disturbance attenuation
Fund Project:This work was supported by the National Natural Science Foundation of China (No.60874041, 60834001), and the Youth Foundation of Henan University of Science and Technology (No.13440018).
Xiaoli QU Electronic Information Engineering College, Henan University of Science & Technology, Luoyang Henan 471003, China xlqu@163.com 
Xiangbin LIU Advanced Control Systems Laboratory, School of Electronics and Information Engineering, Beijing Jiaotong University, Beijing 100044, China  
Mingxuan SUN College of Information Engineering, Zhejiang University of Technology, Hangzhou Zhejiang 310032, China  
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      In this paper, nonlinear observers are incorporated into the adaptive control to synthesize controllers for a class of uncertain nonlinear systems with unknown sinusoidal disturbances which are presented in matched and unmatched forms. In addition to magnitudes and phases, frequencies of the sinusoidal disturbances need not be known as well, so long as the overall order is known. Nonlinear observers are constructed to eliminate the effect of unknown sinusoidal disturbances to improve the steady-state output tracking performance-asymptotic output tracking is achieved. The adaptation law is used to obtain the estimate of all unknown parameters. The presented disturbance decoupling algorithms can deal with matched and unmatched unknown sinusoidal disturbances.
Xiaoli QU,Xiangbin LIU and Mingxuan SUN.Asymptotic attenuation of a class of nonlinear systems with unknown sinusoidal disturbances[J].Journal of Control Theory and Applications,2010,8(4):509~514.
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